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Finding the Third Proportional to 308,293.88 and 672,469.88

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Solution

The third proportional to 308,293.88 and 672,469.88 is: 1,466,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,293.88 : 672,469.88 = 672,469.88 : x
  2. Step 2: Convert to fraction form
    308,293.88/672,469.88 = 672,469.88/x
  3. Step 3: Cross multiply
    308,293.88x = 672,469.88 × 672,469.88
  4. Step 4: Simplify right side
    308,293.88x = 452,215,732,782.52
  5. Step 5: Solve for x
    x = 452,215,732,782.52/308,293.88
  6. Step 6: Final answer
    x = 1,466,833.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.